Square root of 7137

The square root of 7137 is 84.480767 (rounded to 6 decimal places). In simplest radical form it is 3√793.

Square root of 7137

Pick any whole number from 1 to 10,000.

\sqrt{7137} = 3\sqrt{793} \approx 84.480767

How to work it out

1
The square root of 7137 is the number that multiplied by itself gives 7137.
2
7137 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7137 = 9 × 793, so
$\sqrt{7137} = \sqrt{9 \times 793} = 3\sqrt{793}$
4
A calculator, or long division of digits, gives
$\sqrt{7137} \approx 84.480767$

LaTeX source of the formulas on this page

\[ \sqrt{7137} = 3\sqrt{793} \approx 84.480767 \]
\[ \sqrt{7137} = \sqrt{9 \times 793} = 3\sqrt{793} \]
\[ \sqrt{7137} \approx 84.480767 \]

What is the square root of 7137?

The square root of 7137 is 84.480767 (rounded to 6 decimal places). In simplest radical form it is 3√793.

Is 7137 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7137 squared?

7137 × 7137 = 50936769.

What is the square root of 7137 rounded to 2 decimals?

84.48.